Asymptotics of Polynomials Orthogonal on a Cross with a Jacobi-Type Weight

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2020
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English
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Abstract

We investigate asymptotic behavior of polynomials Qn(z) satisfying non-Hermitian orthogonality relations

∫ΔskQn(s)ρ(s)ds=0,k∈{0,…,n−1}, where Δ:=[−a,a]∪[−ib,ib], a,b>0, and ρ(s) is a Jacobi-type weight.

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Barhoumi, A., & Yattselev, M. L. (2020). Asymptotics of Polynomials Orthogonal on a Cross with a Jacobi-Type Weight. Complex Analysis and Operator Theory, 14(1), 9. https://doi.org/10.1007/s11785-019-00962-7
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Complex Analysis and Operator Theory
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